Identity da maganganu iri ɗaya

A cikin wannan ɗaba'ar, za mu yi la'akari da mene ne ainihi da kalmomi iri ɗaya, jera nau'ikan, sannan mu ba da misalai don ƙarin fahimta.

Ma'anar Identity da Bayyanar Identity

Identity daidaiton lissafi ne wanda sassansa daidai suke daidai.

Kalmomin lissafi guda biyu daidai daidai (a wasu kalmomi, suna kama) idan suna da ƙima ɗaya.

Nau'in ganewa:

1. Lambobi Duk bangarorin lissafin sun ƙunshi lambobi kawai. Misali:
   • 6 + 11 = 9 + 8
   • 25 ⋅ (2 + 4) = 150
2. Literal – ainihi, wanda kuma ya ƙunshi haruffa (masu canzawa); gaskiya ne ga duk wani darajar da suka ɗauka. Misali:
   • 12x + 17 = 15x - 3x + 16 + 1
   • 5 ⋅ (6x + 8) = 30x +40 ku

Misalin matsala

Ƙayyade wanne daga cikin waɗannan daidaitattun daidaikun mutane ne:

• 212 + x = 2x - x + 199 + 13
• 16 ⋅ (x + 4) = 16x +60 ku
• 10 - (-x) + 22 = 10x +22 ku
• 1 - (x - 7) = -x - 6
• x² + 2x = 2x³
• 15 - 3² = 15² + 2 ⋅ 15 ⋅ 3 - 3²

amsa:

Identities sune daidaito na farko da na huɗu, saboda ga kowace ƙima x dukkan bangarorin biyu za su dauki dabi'u iri daya.